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Finding the Fourth Proportional to 203.52, 280.84 and 120.64

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Solution

The fourth proportional to 203.52, 280.84 and 120.64 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 280.84 = 120.64 : x
  2. Step 2: Convert to fraction form
    203.52/280.84 = 120.64/x
  3. Step 3: Cross multiply
    203.52x = 280.84 × 120.64
  4. Step 4: Simplify right side
    203.52x = 33,880.54
  5. Step 5: Solve for x
    x = 33,880.54/203.52
  6. Step 6: Final answer
    x = 166.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.